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26135248896 = 214324212
BaseRepresentation
bin11000010101110010…
…000100000000000000
32111110102002012112100
4120111302010000000
5412011110431041
620001213030400
71613440643631
oct302562040000
974412065470
1026135248896
11100a1737359
125094785400
1326067a9323
14139d05d888
15a2e6bc6b6
hex615c84000

26135248896 has 135 divisors (see below), whose sum is σ = 75679285773. Its totient is φ = 8691056640.

The previous prime is 26135248889. The next prime is 26135248901. The reversal of 26135248896 is 69884253162.

The square root of 26135248896 is 161664.

It is a perfect power (a square), and thus also a powerful number.

26135248896 is a `hidden beast` number, since 26 + 1 + 3 + 52 + 488 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 124010496 + 26011238400 = 11136^2 + 161280^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 62078766 + ... + 62079186.

Almost surely, 226135248896 is an apocalyptic number.

26135248896 is the 161664-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26135248896

26135248896 is an abundant number, since it is smaller than the sum of its proper divisors (49544036877).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

26135248896 is an frugal number, since it uses more digits than its factorization.

26135248896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 426 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The spelling of 26135248896 in words is "twenty-six billion, one hundred thirty-five million, two hundred forty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 421 512 576 768 842 1024 1152 1263 1536 1684 2048 2304 2526 3072 3368 3789 4096 4608 5052 6144 6736 7578 8192 9216 10104 12288 13472 15156 16384 18432 20208 24576 26944 30312 36864 40416 49152 53888 60624 73728 80832 107776 121248 147456 161664 177241 215552 242496 323328 354482 431104 484992 531723 646656 708964 862208 969984 1063446 1293312 1417928 1595169 1724416 1939968 2126892 2586624 2835856 3190338 3448832 3879936 4253784 5173248 5671712 6380676 6897664 7759872 8507568 10346496 11343424 12761352 15519744 17015136 20692992 22686848 25522704 31039488 34030272 45373696 51045408 62078976 68060544 90747392 102090816 136121088 181494784 204181632 272242176 362989568 408363264 544484352 725979136 816726528 1088968704 1451958272 1633453056 2177937408 2903916544 3266906112 4355874816 6533812224 8711749632 13067624448 26135248896